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Finding the Fourth Proportional to 281,626.38, 388,642.71 and 152,567.29

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Solution

The fourth proportional to 281,626.38, 388,642.71 and 152,567.29 is: 210,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,626.38 : 388,642.71 = 152,567.29 : x
  2. Step 2: Convert to fraction form
    281,626.38/388,642.71 = 152,567.29/x
  3. Step 3: Cross multiply
    281,626.38x = 388,642.71 × 152,567.29
  4. Step 4: Simplify right side
    281,626.38x = 59,294,164,071.35
  5. Step 5: Solve for x
    x = 59,294,164,071.35/281,626.38
  6. Step 6: Final answer
    x = 210,541.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.